Mulliken Symbols
Symbols used to identify irreducible representations of groups:
A= singly degenerate state which is symmetric with respect to rotation about the principal C_n axis,
B= singly degenerate state which is antisymmetric with respect to rotation about the principal C_n axis,
E= doubly degenerate,
T= triply degenerate,
X_g= (gerade, symmetric) the sign of the wavefunction does not change on inversion through the center of the atom,
X_u= (ungerade, antisymmetric) the sign of the wavefunction changes on inversion through the center of the atom,
X_1= (on a or b) the sign of the wavefunction does not change upon rotation about the center of the atom,
X_2= (on a or b) the sign of the wavefunction changes upon rotation about the center of the atom,
' = symmetric with respect to a horizontal symmetry plane sigma_h,
" = antisymmetric with respect to a horizontal symmetry plane sigma_h.
See also
Character Table, Group Theory, Irreducible RepresentationExplore with Wolfram|Alpha
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References
Cotton, F. A. Chemical Applications of Group Theory, 3rd ed. New York: Wiley, pp. 90-91, 1990.Referenced on Wolfram|Alpha
Mulliken SymbolsCite this as:
Weisstein, Eric W. "Mulliken Symbols." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MullikenSymbols.html